Convolution of probability density function f(x) on [a,b]

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f(x) =
Left : Right:
[The Canvas goes here]
o
Instructions:

f(x) is any probability density function written in JavaScript format.
That is, f(x) >= 0 for all x in the interval [a, b]. The area under the
function need not be 1 since the drawings are shown to scale. The
endpoints left (a) and right (b) must be finite. Press Graph to view.

Examples:
(1) f(x) = x*x, a = -2, and b = 2
(2) f(x) = 1, [a, b] = [0, 1] - uniform distribution
(3) f(x) = Math.exp(-x), [a, b] = [0, 10] - truncated exponential